Answer:
50th term
Step-by-step explanation:
Second term, a + d = 3
Tenth term, a + 9d = -13
a + d = 3 (1)
a + 9d = -13 (2)
Subtract (1) from (2) to eliminate a
9d - d = -13 - 3
8d = -16
d = -16/8
d = -2
Substitute d = -2 into (1)
a + d = 3 (1)
a + (-2) = 3
a - 2 = 3
a = 3 + 2
a = 5
Find the term of the sequence that has value -93.
nth term = a + (n -1)d
-93 = 5 + (n - 1) -2
-93 = 5 + (-2n + 2)
-93 = 5 - 2n + 2
-93 = -2n + 7
-93 - 7 = -2n
-100 = -2n
n = -100/-2
n = 50
50th term = -93
